920286432 has 288 divisors, whose sum is σ = 3145353120. Its totient is φ = 252149760.

The previous prime is 920286421. The next prime is 920286481. The reversal of 920286432 is 234682029.

920286432 is a `hidden beast` number, since 9 + 2 + 0 + 2 + 8 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1208932 + ... + 1209692.

It is an arithmetic number, because the mean of its divisors is an integer number (10921365).

Almost surely, 2^920286432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920286432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572676560).

920286432 is an abundant number, since it is smaller than the sum of its proper divisors (2225066688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

920286432 is a wasteful number, since it uses less digits than its factorization.

920286432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 920286432 is about 30336.2231004454. The cubic root of 920286432 is about 972.6897507321.

The spelling of 920286432 in words is "nine hundred twenty million, two hundred eighty-six thousand, four hundred thirty-two".